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Finding the Fourth Proportional to 595.46, 819.32 and 581.06

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Solution

The fourth proportional to 595.46, 819.32 and 581.06 is: 799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.46 : 819.32 = 581.06 : x
  2. Step 2: Convert to fraction form
    595.46/819.32 = 581.06/x
  3. Step 3: Cross multiply
    595.46x = 819.32 × 581.06
  4. Step 4: Simplify right side
    595.46x = 476,074.08
  5. Step 5: Solve for x
    x = 476,074.08/595.46
  6. Step 6: Final answer
    x = 799.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.